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Dmitry_Shevchenko [17]

2 years ago

10

Which decimal is equivalent to 4/20

1 answer:

Anastaziya [24]2 years ago

6 0

The answer should be .20

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What are the values of the variables in the triangle below?

harkovskaia [24]

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

$Sin(30)=\cfrac{y}{6\sqrt{3} }$

$\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)$

$\sqrt{3}y=9$

$\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}$

$y=3\sqrt{3}$

~

$Cos(30)=\cfrac{x}{6\sqrt{3} }$

$\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)$

$\sqrt{3}x=9\sqrt{3}$

$\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}$

$x=9$

Therefore, x=9 and y=3√(3)

~

8 0

1 year ago

The product of five and a number, increased by 9 is equal to fifteen less than three times then

bonufazy [111]

Answer:

x = -12

Step-by-step explanation:

Let x be the number.

The product of 5 and x increased by 9 is equal to 15 less than 3 times x.

5x + 9 = 3x - 15.

We can isolate x, getting (5-3)x = -15-9

Then we can solve:

2x = -24

x = -12.

8 0

2 years ago

A certain number has exactly 8 factors including 1 and itself. 2 of its factors are 21 and 35 what is the number?

vodomira [7]

21 = 3.7
35 = 5.7

probably the factors have 3.5.7
= 105

let's try :
1 . 105
3 . 35
5 . 21
7 . 15
Yep, correct.

6 0

2 years ago

nikdorinn [45]

Answer:

$2.9 cm^2$

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = $\frac{1}{2}\times base \times height$

We know that,

$\sin \theta = \dfrac{P}{H}$

$\sin 30^\circ= \dfrac{P}{8}$

$P = \dfrac{8}{2}$

$P = 4\ cm$

And

$\cos \theta =\dfrac{B}{H}$

$\cos 30^\circ = \dfrac{B}{8}$

$B = \dfrac{8\times \sqrt{3}}{2}$

$B = 4\sqrt 3$

Area of sector = $\dfrac{\theta}{360^\circ}\times \pi r^2$

Area of sector = $\dfrac{30^\circ}{360^\circ}\times \pi \times 8^2$

= 16.75 cm^2

Area of triangle = $\dfrac{1}{2} \times 4\sqrt 3 \times 4$

= 13.85 cm^2

Area of shaded region = 16.75 - 13.85

= $2.9 cm^2$

7 0

2 years ago

Aunt sally is making cookies for a bake sale. She can bake 120 cookies every hour. Use this information to fill out the mapping

defon

Answer:

Step-by-step explanation: okay each hour she makes 120 cookies right then 2 hours would be 240 and three hours would be 360 and 4 would be 480 and 5 would be 600 hundred

7 0

2 years ago